“…However, most of these studies employed the so-called traditional ambient noise tomography method based on ray theory, which does not consider complex wave propagation phenomena in heterogeneous media. Utilizing these seismic wave simulations, adjoint-state methods can efficiently incorporate the full nonlinearity of wave propagation in iterative seismic inversions (e.g., Bozdag et al, 2016;Chen et al, 2015Chen et al, , 2017Fichtner & Villaseñor, 2015;Fichtner et al, 2009Fichtner et al, , 2010Liu & Gu, 2012;Liu & Tromp, 2006Tape et al, 2009Tape et al, , 2010Tromp et al, 2005;Zhu et al, 2012;Zhu & Tromp, 2013, Zhu et al, 2015. Recent advances in numerical methods for the wave equation combined with developments in high-performance computation (HPC) have enabled routine simulation of seismic wave propagation in realistic 2-D and 3-D Earth models based on the spectral-element method (SEM) (Komatitsch et al, 2004;Komatitsch & Tromp, 2002a, 2002b.…”